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Finding the Fourth Proportional to 86,513.60, 129,964.80 and 83,208.80

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Solution

The fourth proportional to 86,513.60, 129,964.80 and 83,208.80 is: 125,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,513.60 : 129,964.80 = 83,208.80 : x
  2. Step 2: Convert to fraction form
    86,513.60/129,964.80 = 83,208.80/x
  3. Step 3: Cross multiply
    86,513.60x = 129,964.80 × 83,208.80
  4. Step 4: Simplify right side
    86,513.60x = 10,814,215,050.24
  5. Step 5: Solve for x
    x = 10,814,215,050.24/86,513.60
  6. Step 6: Final answer
    x = 125,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.